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1 November, 23:07

What is the sum of:

1/8+5/16+3/8

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Answers (1)
  1. 1 November, 23:37
    0
    Conversion a mixed number 16 3

    8

    to a improper fraction: 16 3/8 = 16 3

    8

    = 16 · 8 + 3

    8

    = 128 + 3

    8

    = 131

    8

    To find new numerator:

    a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8

    8

    = 128

    8

    b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

    c) Write previous answer (new numerator 131) over the denominator 8.

    Sixteen and three eighths is one hundred thirty-one eighths

    Conversion a mixed number 9 5

    8

    to a improper fraction: 9 5/8 = 9 5

    8

    = 9 · 8 + 5

    8

    = 72 + 5

    8

    = 77

    8

    To find new numerator:

    a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8

    8

    = 72

    8

    b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

    c) Write previous answer (new numerator 77) over the denominator 8.

    Nine and five eighths is seventy-seven eighths

    Subtract: 131

    8

    - 77

    8

    = 131 - 77

    8

    = 54

    8

    = 2 · 27

    2 · 4

    = 27

    4

    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM (8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 * 8 = 64. In the next intermediate step cancelling by a common factor of 2 gives 27

    4

    .

    In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.
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